Role of symmetry in antiferromagnetic topological insulators

doi:10.1088/1674-1056/adcb1e

中国物理B ›› 2025, Vol. 34 ›› Issue (7): 77302-077302.doi: 10.1088/1674-1056/adcb1e

Role of symmetry in antiferromagnetic topological insulators

Sahar Ghasemi¹ and Morad Ebrahimkhas^1,2,†

1 Department of Physics, Mahabad Branch, Islamic Azad University, Mahabad, Iran;
2 Institut für Theoretische Physik, Goethe-Universität, 60438 Frankfurt/Main, Germany

收稿日期:2025-01-20 修回日期:2025-03-23 接受日期:2025-04-10 出版日期:2025-06-18 发布日期:2025-07-10
通讯作者: Morad Ebrahimkhas E-mail:ebrahimkhas@gmail.com

Role of symmetry in antiferromagnetic topological insulators

Sahar Ghasemi¹ and Morad Ebrahimkhas^1,2,†

1 Department of Physics, Mahabad Branch, Islamic Azad University, Mahabad, Iran;
2 Institut für Theoretische Physik, Goethe-Universität, 60438 Frankfurt/Main, Germany

Received:2025-01-20 Revised:2025-03-23 Accepted:2025-04-10 Online:2025-06-18 Published:2025-07-10
Contact: Morad Ebrahimkhas E-mail:ebrahimkhas@gmail.com

摘要/Abstract

摘要： In this investigation, we delve into the interplay between strong interactions and intricate topological configurations, leading to emergent quantum states such as magnetic topological insulators. The crux of our research centers on elucidating how lattice symmetry modulates antiferromagnetic quantum Hall phenomena. Utilizing the spinful Harper-Hofstadter model enriched with a next-nearest-neighbor (NNN) hopping term, we discern a half-filling bandgap, paving the way for the manifestation of a quantum Hall insulator characterized by a Chern number, $C = 2$. Upon integrating a checkerboard-patterned staggered potential ($\varDelta $) and the Hubbard interaction ($U$), the system exhibits complex dynamical behaviors. Marginal NNN hopping culminates in a Neél antiferromagnetic Mott insulator. In contrast, intensified hopping results in stripe antiferromagnetic configurations. Moreover, in the regime of limited NNN hopping, a $C = 1$ Neél antiferromagnetic quantum Hall insulator emerges. A salient observation pertains to the manifestation of a $C = 1$ antiferromagnetic quantum Hall insulator when spin-flip mechanisms are not offset by space group symmetries. These findings chart a pathway for further explorations into antiferromagnetic Quantum Hall States.

关键词: antiferromagnetic quantum hall insulator, topological phase transitions, Harper-Hofstadter-Hubbard model, lattice symmetry effects

Abstract: In this investigation, we delve into the interplay between strong interactions and intricate topological configurations, leading to emergent quantum states such as magnetic topological insulators. The crux of our research centers on elucidating how lattice symmetry modulates antiferromagnetic quantum Hall phenomena. Utilizing the spinful Harper-Hofstadter model enriched with a next-nearest-neighbor (NNN) hopping term, we discern a half-filling bandgap, paving the way for the manifestation of a quantum Hall insulator characterized by a Chern number, $C = 2$. Upon integrating a checkerboard-patterned staggered potential ($\varDelta $) and the Hubbard interaction ($U$), the system exhibits complex dynamical behaviors. Marginal NNN hopping culminates in a Neél antiferromagnetic Mott insulator. In contrast, intensified hopping results in stripe antiferromagnetic configurations. Moreover, in the regime of limited NNN hopping, a $C = 1$ Neél antiferromagnetic quantum Hall insulator emerges. A salient observation pertains to the manifestation of a $C = 1$ antiferromagnetic quantum Hall insulator when spin-flip mechanisms are not offset by space group symmetries. These findings chart a pathway for further explorations into antiferromagnetic Quantum Hall States.

Key words: antiferromagnetic quantum hall insulator, topological phase transitions, Harper-Hofstadter-Hubbard model, lattice symmetry effects

中图分类号: (Quantum Hall effects)

73.43.-f

71.27.+a (Strongly correlated electron systems; heavy fermions) 75.10.-b (General theory and models of magnetic ordering)

Sahar Ghasemi and Morad Ebrahimkhas. Role of symmetry in antiferromagnetic topological insulators[J]. 中国物理B, 2025, 34(7): 77302-077302.

Sahar Ghasemi and Morad Ebrahimkhas. Role of symmetry in antiferromagnetic topological insulators[J]. Chin. Phys. B, 2025, 34(7): 77302-077302.

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Role of symmetry in antiferromagnetic topological insulators

Role of symmetry in antiferromagnetic topological insulators

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